Sam found a bunch of change under his bed. He has a pile of quarters, a pile of dimes and a pile of nickels. He has the same number of quarters, dimes and nickels. When he adds it all up, he has eight dollars and eighty cents. How many of each coin does Sam have?
In this concept, you will learn to solve multi-step equations involving decimals.
Multi Step Equations with Decimals
Let’s start by looking at solving equations involving decimals.
First, subtract the like terms on the left side of the equation.
The answer is 8.
Earlier, you were given a problem about Sam who found the change under his bed. He looked at the pile of nickels, dime, and quarters and noticed that he had the same number of each coin. When he added it up, he had a total of $8.80. He wants to know how many of each coin he has.
Next, combine like terms.
The answer is 22.
Sam has 22 of each type of coin.
First, you can see that we have parentheses in this equation. Apply the distributive property to the left side of the equation. Multiply each of the two numbers inside the parentheses by 0.1.
The answer is 9.
The answer is 7.
The answer is 70.
First, combine like terms on the left side of the equation.
The answer is 2.
Solve each equation to find the value of the variable.
To see the Review answers, open this PDF file and look for section 3.9.